Title
Fuzzy regression using least absolute deviation estimators
Abstract
In fuzzy regression, that was first proposed by Tanaka et al. (Eur J Oper Res 40:389---396, 1989; Int Cong Appl Syst Cybern 4:2933---2938, 1980; IEEE Trans SystMan Cybern 12:903---907, 1982), there is a tendency that the greater the values of independent variables, the wider the width of the estimated dependent variables. This causes a decrease in the accuracy of the fuzzy regression model constructed by the least squares method.This paper suggests the least absolute deviation estimators to construct the fuzzy regression model, and investigates the performance of the fuzzy regression models with respect to a certain errormeasure. Simulation studies and examples show that the proposed model produces less error than the fuzzy regression model studied by many authors that use the least squares method when the data contains fuzzy outliers.
Year
DOI
Venue
2008
10.1007/s00500-007-0198-3
Soft Comput.
Keywords
Field
DocType
least absolute deviation estimators,fuzzy regression model,fuzzy outliers,ieee trans systman cybern,squares method,fuzzy outlier,absolute deviation estimator,fuzzy regression · least absolute deviation estimators · fuzzy outliers,fuzzy regression,int cong appl syst,tanaka et,eur j oper res,least absolute deviation,least square method
Mathematical optimization,Regression analysis,Partial least squares regression,Local regression,Nonlinear regression,Robust regression,Least absolute deviations,Simple linear regression,Statistics,Total least squares,Mathematics
Journal
Volume
Issue
ISSN
12
3
1433-7479
Citations 
PageRank 
References 
29
1.29
5
Authors
2
Name
Order
Citations
PageRank
Seung-Hoe Choi1738.89
James J. Buckley2910185.47